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Science/Engineering Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

Posted on 2010-03-16




Name:Science/Engineering Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations
ASIN/ISBN:9810247648
Language:English
File size:4.1 Mb
Publish Date: 2001
ISBN: 9810247648
Pages: 460 pages
File Type: PDF
File Size: 4,1 MB
Other Info: World Scientific Publishing Company
   Science/Engineering Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations



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Wolfgang Tutschke, H. Florian, "Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations"

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws.

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